Question

примеры
14/17*13/49+36/49*14/17
12/17*18/36-12/17*1/36

Answer 1

Решение / ответ:

$1) \frac{14}{17} \times \frac{13}{49} + \frac{36}{49} \times \frac{14}{17} = \frac{14 \times 13}{17 \times 49} + \frac{36 \times 14}{49 \times 17} = \frac{2 \times 13}{17 \times 7} + \frac{36 \times 2}{7 \times 17} = \frac{26}{119} + \frac{72}{119} = \frac{26 + 72}{119} = \frac{98}{119}.$

$2) \frac{12}{17} \times \frac{18}{36} - \frac{12}{17} \times \frac{1}{36} = \frac{12 \times 18}{17 \times 36} - \frac{12 \times 1}{17 \times 36} = \frac{12 \times 1}{17 \times2 } - \frac{1 \times 1}{17 \times 3} = \frac{6 \times 1}{17 \times1 } - \frac{1 \times 1}{17 \times 3} = \frac{6 ^{ \times 3} }{17} - \frac{1}{51} = \frac{18}{51} - \frac{1}{51} = \frac{18 - 1}{51} = \frac{17}{51} = \frac{1}{3} .$

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